Answer: x= 1/5
3/4x +1/4 =2x
1/4= 1 1/4x or 1.25x (minus 3/4x on both side)
1/5=x
3(4*3)=12*9
12*9=108
3(4*3)=3*4=12
3*3=9
12*9
Answer:
1500+337.50 = $1,837.5
Step-by-step explanation:
You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
<em>
I = P x r x t</em>
Where:
P is the principal amount, $1500.00.
r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:
The interest is: $337.50
<h3>Given</h3>
- Set A: A = {-26, -25, -24, -23, - 22, - 21}
- Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}
<h3>(a) </h3>
<em />
<em>Cardinality means the number of elements in the set.</em>
Cardinality of the set A:
n(A) = 6, since we can count 6 elements.
Set B has even numbers between 6 and 20, both included:
- B = {6, 8, 10, 12, 14, 16, 18, 20}
Then its cardinality is:
<h3>(b) </h3>
To solve this we need to compare the elements of sets A or B with numbers given:
- -22 ∈ A, True ⇒ -22 is listed as element of A
- 6 ∈ B, True ⇒ 6 is listed as element of B
- - 21 ∉ A, False ⇒ - 21 is listed as element of A
- 2 ∈ B, False ⇒ 2 is not listed as element of B
